Year 10 Expanding Brackets Worksheet — Level 2 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 10 algebraic expressions worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Algebraic ExpressionsYear 10 Expanding Brackets Worksheet — Level 2 — Practice Set 3 — Answers
Multiply every term inside the bracket. Then collect like terms.
1.Expand and simplify: (x − 1)(x − 7)
Answer: x2 − 8x + 7
- x × x = x2
- x × −7 + −1 × x = −8x
- −1 × −7 = 7
2.Expand and simplify: (x + 3)(x − 1)
Answer: x2 + 2x − 3
- x × x = x2
- x × −1 + 3 × x = 2x
- 3 × −1 = −3
3.Expand and simplify: (x − 7)(x − 8)
Answer: x2 − 15x + 56
- x × x = x2
- x × −8 + −7 × x = −15x
- −7 × −8 = 56
4.Expand and simplify: (x + 5)(x − 5)
Answer: x2 − 25
- x × x = x2
- x × −5 + 5 × x = 0
- 5 × −5 = −25
5.Expand and simplify: (x + 9)(x + 3)
Answer: x2 + 12x + 27
- x × x = x2
- x × 3 + 9 × x = 12x
- 9 × 3 = 27
6.Expand and simplify: (x + 5)(x − 8)
Answer: x2 − 3x − 40
- x × x = x2
- x × −8 + 5 × x = −3x
- 5 × −8 = −40
7.Expand and simplify: (x − 9)(x + 2)
Answer: x2 − 7x − 18
- x × x = x2
- x × 2 + −9 × x = −7x
- −9 × 2 = −18
8.Expand and simplify: (x + 8)(x + 8)
Answer: x2 + 16x + 64
- x × x = x2
- x × 8 + 8 × x = 16x
- 8 × 8 = 64
9.Expand and simplify: (x + 2)(x + 7)
Answer: x2 + 9x + 14
- x × x = x2
- x × 7 + 2 × x = 9x
- 2 × 7 = 14
10.Expand and simplify: (x + 5)(x − 9)
Answer: x2 − 4x − 45
- x × x = x2
- x × −9 + 5 × x = −4x
- 5 × −9 = −45
11.Expand and simplify: (x − 1)(x − 1)
Answer: x2 − 2x + 1
- x × x = x2
- x × −1 + −1 × x = −2x
- −1 × −1 = 1
12.Expand and simplify: (x − 8)(x + 5)
Answer: x2 − 3x − 40
- x × x = x2
- x × 5 + −8 × x = −3x
- −8 × 5 = −40
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